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Higher-dimensional Willmore energies via minimal submanifold asymptotics

Mathematical Physics Seminar

Speaker: Robin Graham, University of Washington, Seattle
Location: 432 Physics
Start time: Thu, Nov 12 2015, 3:10PM

This talk will describe a derivation of a conformally invariant energy for an even-dimensional submanifold of a Riemannian manifold generalizing the Willmore energy of a surface. The energy and its associated Euler-Lagrange equation both arise naturally upon considering the asymptotics of minimal submanifolds in asymptotically Poincar\'e-Einstein spaces associated to the background conformal manifold.